Shape Transformations Mastery

Name:

Date:

Coordinate plane with transformed shapes

🎯 WALT & Success Criteria

We Are Learning To: Visualise and perform transformations (translation, reflection, rotation, scaling) on 2D and composite shapes on the coordinate plane.

I can:

Identify and describe translations, reflections, rotations, and scaling on coordinate planes

Accurately transform shapes by applying combinations of transformations

Use coordinates to map original and transformed shapes

Explain the effect of each transformation in my own words

📚 Part 1: Transformation Knowledge Check

1. Which transformation moves a shape without changing its size or orientation?

Translation

Reflection

Rotation

Scaling

2. A shape is reflected across the y-axis. If the original point is at (3, 2), where is the new point?

(-3, 2)

(3, -2)

(-3, -2)

(2, 3)

3. Which transformations change the size of a shape? (Select all that apply)

Translation by 5 units right

Scaling by factor of 2

Rotation 90° clockwise

Scaling by factor of 0.5

4. A triangle is rotated 180° about the origin. The point (4, -1) becomes:

(-4, 1)

(1, 4)

(-1, -4)

(4, 1)

✏️ Part 2: Coordinate Transformations

5. Complete the transformation table for triangle ABC with vertices A(2, 1), B(4, 1), C(3, 3):

Translation: 3 units left, 2 units up

A(2, 1) → A'( ____ , ____ )

B(4, 1) → B'( ____ , ____ )

C(3, 3) → C'( ____ , ____ )

6. Draw and label the original shape and its transformation on the coordinate grid below:

Original rectangle: corners at (1, 1), (3, 1), (3, 2), (1, 2)

Transform by: scaling factor of 2, then translate 4 units right

7. Explain in your own words what happens to a shape when it is scaled by a factor of 0.5:

8. Extension Challenge: A square with vertices at (0, 0), (2, 0), (2, 2), (0, 2) undergoes these transformations in order:
• Rotate 90° clockwise about origin
• Reflect across x-axis
• Translate 3 units left

Write the final coordinates: